# hydroelasticity

## Hydroelastic Response of a Sandwich Plate Possessing a Compressible Core and Interacting with a Rigid Die Via a Viscous Fluid Layer

The three-layered plate interaction with a rigid die through a layer of viscous fluid was investigated. The plate and rigid die formed a narrow channel with rectangular parallel walls. The channel was completely filled with a viscous incompressible fluid. The fluid movement in the channel was studied as a creeping one. The motion law of the rigid die was considered to be given as a harmonic one and the forced steady-state oscillations problem of the sandwich plate was considered.

## The Problem of a Hydroelasticity for a Tube Ring-type a Profile with Elastic, Geometrically Irregular Outer Shell at Pressure Influence

The mechanical model presented in the form of a tube of ring section, formed by two surfaces of coaxial cylindrical shells cooperating with viscous incompressible liquid is considered. The mathematical model of this system consisting of the differential equations in private derivatives of describing dynamics of viscous incompressible liquid and an elastic ridge shell together with boundary conditions is constructed.

## Mathematical and сomputer modeling of nonlinear waves dynamics in a coaxial physically nonlinear shells with viscous incompressible fluid between them

This study focuses on the analysis of nonlinear wave propagation deformations in the elastic physically nonlinear coaxial cylindrical shells containing a viscous incompressible fluid between them. Wave processes in an elastic cylindrical shell without interacting with fluid were previously studied from the standpoint of the theory of solitons. The presence of fluid required developing a new mathematical model and computer modeling of processes occurring in the system.

## Mathematical Modeling of Interaction Between Layer of Viscous Liquid and Elastic Walls of Channel, Which Was Installed on Vibration Foundation

The article solves the problem of mathematical modeling dynamic processes in hydrosupport with elastic stator. The dynamic problem of hydroelasticity is found and amplitude and phase frequency characteristics of hydrosupport was built.